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Finding the Fourth Proportional to 98,700, 136,206 and 53,988.96

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Solution

The fourth proportional to 98,700, 136,206 and 53,988.96 is: 74,504.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,700 : 136,206 = 53,988.96 : x
  2. Step 2: Convert to fraction form
    98,700/136,206 = 53,988.96/x
  3. Step 3: Cross multiply
    98,700x = 136,206 × 53,988.96
  4. Step 4: Simplify right side
    98,700x = 7,353,620,285.76
  5. Step 5: Solve for x
    x = 7,353,620,285.76/98,700
  6. Step 6: Final answer
    x = 74,504.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.